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315341223440 = 24522697173669
BaseRepresentation
bin1001001011010111100…
…11010011011000010000
31010010221200010220222212
410211223303103120100
520131304323122230
6400511000451252
731532310113315
oct4455363233020
91103850126885
10315341223440
1111180a999561
1251147179b28
132397627a109
14113967cad0c
158309426895
hex496bcd3610

315341223440 has 40 divisors (see below), whose sum is σ = 733204868760. Its totient is φ = 126130205696.

The previous prime is 315341223437. The next prime is 315341223499. The reversal of 315341223440 is 44322143513.

It can be written as a sum of positive squares in 4 ways, for example, as 19896795136 + 295444428304 = 141056^2 + 543548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 315341223397 and 315341223406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1728926 + ... + 1902594.

It is an arithmetic number, because the mean of its divisors is an integer number (18330121719).

Almost surely, 2315341223440 is an apocalyptic number.

It is an amenable number.

315341223440 is an abundant number, since it is smaller than the sum of its proper divisors (417863645320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315341223440 is a wasteful number, since it uses less digits than its factorization.

315341223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196379 (or 196373 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 315341223440 its reverse (44322143513), we get a palindrome (359663366953).

The spelling of 315341223440 in words is "three hundred fifteen billion, three hundred forty-one million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 22697 45394 90788 113485 173669 181576 226970 347338 363152 453940 694676 868345 907880 1389352 1736690 1815760 2778704 3473380 6946760 13893520 3941765293 7883530586 15767061172 19708826465 31534122344 39417652930 63068244688 78835305860 157670611720 315341223440